x的三次方减二x^2+2+x-+1的因式分解? x的三次方减x的二次方减1因式分解

x\u7684\u4e09\u6b21\u65b9\u51cfx\u76842\u6b21\u65b9\u51cfx\u52a01\u3002\u56e0\u5f0f\u5206\u89e3\u600e\u4e48\u505a\uff1f

\u89e3\uff1a
x\u7684\u4e09\u6b21\u65b9\u51cfx\u76842\u6b21\u65b9\u51cfx\u52a01=xxx-xx-x+1=\uff08xxx+1\uff09-\uff08xx+x\uff09=\uff08x+1\uff09\uff08xx-x+1\uff09-x(x+1)=(x+1)(xx-x+1-x)=(x+1)(xx-2x+1)=(x+1)(x-1)(x-1)
\u4eb2\uff0c\u8bf7\u60a8\u91c7\u7eb3\uff0c\u60a8\u7684\u91c7\u7eb3\u662f\u6211\u7684\u52a8\u529b\uff0c\u8c22\u8c22\u3002

x³-x²+X-1
=x²(x-1)+(x-1)
=(x-1)(x²+1)

=x³-1-2x²+2x
=(x-1)(x²+x+1)-2x(x-1)
=(x-1)(x²+x+1-2x)
=(x-1)(x²-x+1)

X^3-X^2+X-1
=X^2*(X-1)+X-1
=(X^2+1)*(X-1)

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